SOLUTION: there are 3 identical blue marbles and four identical yellow marbles arranged in a row. How many different arrangements of just five of these marbles are possible?

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Question 1149899: there are 3 identical blue marbles and four identical yellow marbles arranged in a row. How many different arrangements of just five of these marbles are possible?
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
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The answer is  %283%2B4%29%21%2F%283%21%2A4%21%29 = 7%21%2F%283%21%2A4%21%29 = 35.


The factors 3! and 4! in the denominators serve to account for multiplicity of indistinguishable marbles.

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See the lesson
    - Arranging elements of sets containing indistinguishable elements
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic  "Combinatorics: Combinations and permutations".


Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.